The Experts below are selected from a list of 279 Experts worldwide ranked by ideXlab platform
S. L. Yakovlev - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic solution of a Coulomb multichannel Scattering Problem with a nonadiabatic channel coupling
Theoretical and Mathematical Physics, 2020Co-Authors: S. L. YakovlevAbstract:We develop a well-posed multiparticle Coulomb Scattering Problem based on asymptotic solutions of a Coulomb multichannel Scattering Problem constructed in the adiabatic representation. A key feature of the studied Problem is that the nonadiabatic channel coupling matrix is nontrivial at large internuclear distances. We consider the Scattering Problem in the case with an arbitrary momentum value and study solutions for small channel coupling matrix values in detail, constructing explicit representations for the asymptotic solution of the Scattering Problem.
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potential splitting approach to the three body coulomb Scattering Problem
Bulletin of The Russian Academy of Sciences: Physics, 2016Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting approach is extended to a three-body Coulomb Scattering Problem. The distorted incident wave is constructed and the driven Schrodinger equation is derived. The full angular momentum representation is used to reduce the dimensionality of the Problem. The phase shifts for e +−H and e +−He+ collisions are calculated to illustrate the efficiency of the presented method.
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potential splitting approach to the three body coulomb Scattering Problem
EPL, 2015Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting technique is developed for solving the three-body Coulomb Scattering Problem. The formalism is applied to e+-H and e+-He+ Scattering Problems. Calculated phase shifts and the annihilation rate parameter are in fairly good agreement with the most accurate results available in the literature.
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solving the coulomb Scattering Problem using the complex scaling method
arXiv: Atomic Physics, 2011Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:Based on the work of Nuttall and Cohen [Phys. Rev. {\bf 188} (1969) 1542] and Resigno et al{} [Phys. Rev. A {\bf 55} (1997) 4253] we present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex scaling method, applied to a specially constructed inhomogeneous Schr\"odinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
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solving the coulomb Scattering Problem using the complex scaling method
EPL, 2009Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:We present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex-scaling method, applied to a specially constructed inhomogeneous Schrodinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
M V Volkov - One of the best experts on this subject based on the ideXlab platform.
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potential splitting approach to the three body coulomb Scattering Problem
Bulletin of The Russian Academy of Sciences: Physics, 2016Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting approach is extended to a three-body Coulomb Scattering Problem. The distorted incident wave is constructed and the driven Schrodinger equation is derived. The full angular momentum representation is used to reduce the dimensionality of the Problem. The phase shifts for e +−H and e +−He+ collisions are calculated to illustrate the efficiency of the presented method.
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potential splitting approach to the three body coulomb Scattering Problem
EPL, 2015Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting technique is developed for solving the three-body Coulomb Scattering Problem. The formalism is applied to e+-H and e+-He+ Scattering Problems. Calculated phase shifts and the annihilation rate parameter are in fairly good agreement with the most accurate results available in the literature.
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solving the coulomb Scattering Problem using the complex scaling method
arXiv: Atomic Physics, 2011Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:Based on the work of Nuttall and Cohen [Phys. Rev. {\bf 188} (1969) 1542] and Resigno et al{} [Phys. Rev. A {\bf 55} (1997) 4253] we present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex scaling method, applied to a specially constructed inhomogeneous Schr\"odinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
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solving the coulomb Scattering Problem using the complex scaling method
EPL, 2009Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:We present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex-scaling method, applied to a specially constructed inhomogeneous Schrodinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
E Yarevsky - One of the best experts on this subject based on the ideXlab platform.
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potential splitting approach to the three body coulomb Scattering Problem
Bulletin of The Russian Academy of Sciences: Physics, 2016Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting approach is extended to a three-body Coulomb Scattering Problem. The distorted incident wave is constructed and the driven Schrodinger equation is derived. The full angular momentum representation is used to reduce the dimensionality of the Problem. The phase shifts for e +−H and e +−He+ collisions are calculated to illustrate the efficiency of the presented method.
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potential splitting approach to the three body coulomb Scattering Problem
EPL, 2015Co-Authors: M V Volkov, E Yarevsky, S. L. YakovlevAbstract:The potential splitting technique is developed for solving the three-body Coulomb Scattering Problem. The formalism is applied to e+-H and e+-He+ Scattering Problems. Calculated phase shifts and the annihilation rate parameter are in fairly good agreement with the most accurate results available in the literature.
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solving the coulomb Scattering Problem using the complex scaling method
arXiv: Atomic Physics, 2011Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:Based on the work of Nuttall and Cohen [Phys. Rev. {\bf 188} (1969) 1542] and Resigno et al{} [Phys. Rev. A {\bf 55} (1997) 4253] we present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex scaling method, applied to a specially constructed inhomogeneous Schr\"odinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
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solving the coulomb Scattering Problem using the complex scaling method
EPL, 2009Co-Authors: Nils Elander, M V Volkov, E Yarevsky, S. L. YakovlevAbstract:We present a rigorous formalism for solving the Scattering Problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex-scaling method, applied to a specially constructed inhomogeneous Schrodinger equation, transforms the Scattering Problem into a boundary Problem with zero boundary conditions. The local and integral representations for the Scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
R. Lazauskas - One of the best experts on this subject based on the ideXlab platform.
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Bound state techniques to solve the multiparticle Scattering Problem
Progress in Particle and Nuclear Physics, 2014Co-Authors: Jaume Carbonell, A. Deltuva, A. C. Fonseca, R. LazauskasAbstract:Abstract The solution of the Scattering Problem turns out to be a very difficult task both from the formal as well as from the computational point of view. If the last two decades have witnessed decisive progress in ab initio bound state calculations, a rigorous solution of the Scattering Problem remains limited to the A ≤ 4 case. Therefore there is a rising interest to apply bound-state-like methods to handle nonrelativistic Scattering Problems. In this article the latest theoretical developments in this field are reviewed. Five fully rigorous methods will be discussed, which address the Problem of nuclear collisions in full extent (including the break-up Problem) at the same time avoiding treatment of the complicate boundary conditions or integral kernel singularities. These new developments allow us to use modern bound-state techniques to advance significantly rigorous solution of the Scattering Problem.
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Bound state techniques to solve the multiparticle Scattering Problem
Progress in Particle and Nuclear Physics, 2013Co-Authors: Jaume Carbonell, A. Deltuva, A. C. Fonseca, R. LazauskasAbstract:Solution of the Scattering Problem turns to be very difficult task both from the formal as well as from the computational point of view. If the last two decades have witnessed decisive progress in ab initio bound state calculations, rigorous solution of the Scattering Problem remains limited to A$\leq$4 case. Therefore there is a rising interest to apply bound-state-like methods to handle non-relativistic Scattering Problems. In this article the latest theoretical developments in this field are reviewed. Five fully rigorous methods will be discussed, which address the Problem of nuclear collisions in full extent (including the break-up Problem) at the same time avoiding treatment of the complicate boundary conditions or integral kernel singularities. These new developments allows to use modern bound-state techniques to advance significantly rigorous solution of the Scattering Problem.
Peter Monk - One of the best experts on this subject based on the ideXlab platform.
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the inverse electromagnetic Scattering Problem for anisotropic media
Inverse Problems, 2010Co-Authors: Fioralba Cakoni, David Colton, Peter Monk, Jiguang SunAbstract:The inverse electromagnetic Scattering Problem for anisotropic media plays a special role in inverse Scattering theory due to the fact that the (matrix) index of refraction is not uniquely determined from the far field pattern of the scattered field even if multi-frequency data are available. In this paper, we describe how transmission eigenvalues can be determined from the far field pattern and be used to obtain upper and lower bounds on the norm of the index of refraction. Numerical examples will be given for the case when the Scattering object is an infinite cylinder and the inhomogeneous medium is orthotropic.
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the electromagnetic inverse Scattering Problem for partly coated lipschitz domains
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2004Co-Authors: Fioralba Cakoni, David Colton, Peter MonkAbstract:We consider the inverse-Scattering Problem of determining the shape of a partly coated obstacle in R 3 from a knowledge of the incident time-harmonic electromagnetic plane wave and the electric far-field pattern of the scattered wave. A justification is given of the linear sampling method in this case and numerical examples are provided showing the practicality of our method.
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The numerical solution of an inverse Scattering Problem for acoustic waves
IMA Journal of Applied Mathematics, 1992Co-Authors: David Colton, Peter MonkAbstract:In a previous paper, the authors presented a dual space method for the numerical solution of the two-dimensional inverse Scattering Problem for acoustic waves in an inhomogeneous medium. Here, by making major modifications to the dual space method, a dramatic improvement in the numerical performance of this method is achieved for solving the inverse Scattering Problem
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The Inverse Scattering Problem for Acoustic and Electromagnetic Waves
1991Co-Authors: David Colton, Peter MonkAbstract:Abstract : This research project was concerned with the inverse Scattering Problem for time harmonic electromagnetic waves. The main accomplishments were (1) the introduction of modified far field operators to eliminate unwanted eigenvalues in the dual space method for solving the inverse Problem, (2) the numerical analysis of a combined finite element-boundary element method for solving the direct Scattering Problem, (3) an analysis of the spectral properties of the far field operator and the physical meaning of the distribution of eigenvalues, and (4) the adaptation of the dual space method to the Problem of the detection and monitoring of leukemia. (MM)
